I understand you but in this process men often think about ourselves wanting things to be quick. For the women and their emotional feelings it can take a long time. There are different feelings almost everyday, both negative and positive. We the men should not pressure at all. In my situation she has no man behind, she wants to work it out with me. She says she doesn't want anyone she wants me, she says she loves me and want to develope her love for me again. We have kids together and she knows I love her and it's my fault all this has happened. She has lost the love for me and I totally understand her. The love can't rise up like that . I have to do feel attracted to her again and we are still working on. We are actually doing good and hopefully all will be well.
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While this certainly sounds like great news for you and your family, I have to agree with others that this is bizarre. However, I noticed in your original post that you didn't mention how long the two of you had been separated prior to the dinner invitation. Was it weeks? Months? You indicated that you two had agreed on a six month period to figure things out but a lot of advice on here would depend on how long the separation lasted.
I hate to say it but I tend to agree with others that have said another man is involved and when it went sour with him she came back. That could be way off base but given the amount of stories you see on here where it turns out to be true it's impossible to ignore the possibility. Now, if you're at a place where that doesn't matter to you either way then Godspeed. But if it would change your mind to know she had an affair then you probably want to ask her point blank if there was someone else.
With the gambling, how much are we talking? Are you still doing it now and are you in a place that you can be honest about it with her? I sense that there is more to this than is being conveyed because unless you were an addict and losing most of your funds it doesn't seem like enough for her to leave.
Did you mistreat her? Did she mistreat you? All I can say right now is be careful. As others stated, she's likely to flip-flop some more in the coming weeks to months.